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Search: id:A065553
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| A065553 |
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Triangle of Faulhaber numbers (denominators) read by rows. |
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+0
3
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| 1, 1, 2, 1, 6, 3, 1, 6, 3, 4, 1, 10, 5, 2, 5, 1, 6, 3, 12, 3, 6, 1, 210, 105, 21, 15, 6, 7, 1, 2, 1, 12, 3, 3, 1, 8, 1, 30, 15, 6, 15, 9, 3, 6, 9, 1, 42, 21, 420, 15, 10, 35, 20, 3, 10, 1, 110, 55, 33, 165, 66, 1, 2, 3, 2, 11, 1, 6, 3, 20, 5, 45, 15, 40, 9, 10, 3, 12
(list; table; graph; listen)
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OFFSET
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0,3
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LINKS
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Ira M. Gessel and X. G. Viennot, Determinants, paths, and plane partitions, 1989, p. 27, eqn 12.2
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FORMULA
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Sum((n, k=0..inf) a(n, k) t^k x^(2n+1)/(2n+1)! = Series[(Cosh[Sqrt[1+4t] x/2]-Cosh[x/2])/t/Sinh[x/2], {x, 0, }]
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EXAMPLE
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{1}, {1, 2}, {1, 6, 3}, {1, 6, 3, 4}, {1, 10, 5, 2, 5}, {1, 6, 3, 12, 3, 6}, ...
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CROSSREFS
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Cf. A065551.
Sequence in context: A085592 A089849 A006019 this_sequence A016545 A120108 A060556
Adjacent sequences: A065550 A065551 A065552 this_sequence A065554 A065555 A065556
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KEYWORD
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frac,nonn,tabl
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), Dec 02 2001
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